matlab hanning

Hanning is a function in MATLAB that generates a Hanning window. A Hanning window is a type of windowing function that is commonly used in digital signal processing to reduce spectral leakage when analyzing signals.

The syntax for the Hanning function in MATLAB is:

h = hanning(L)

where L is the length of the window (in samples), and h is a vector containing the Hanning window coefficients.

For example, to generate a Hanning window of length 100:

h = hanning(100);

This will create a vector h containing the Hanning window coefficients, which can be used as a weighting function when analyzing signals.

The Hanning window is defined mathematically as:

w(n) = 0.5 - 0.5*cos(2*pi*n/(N-1))

where n is the sample index, N is the length of the window, and w(n) is the window coefficient at sample n. The Hanning window is symmetric, with its peak at the center of the window, and its edges tapering to zero.

The Hanning window is widely used in applications such as audio processing, speech analysis, and vibration analysis. It is one of the most commonly used windowing functions in digital signal processing.